Observation and description of changes in the world around us are the first steps in finding and learning about patterns. INVESTIGATION 1 Essential Question: What are some of the variables around us?
Notes from the class: - The scale of a graph should always have the same interval. - Variables are something that can change.
New vocabulary: Variable
Questions: 1. If you have unusal condition, will it affect the distance you ride, and why or why not? 2. How is a jumper and a timer related together? 1.1 - Preparing for a Bicycle Tour
The popularity of bicycle tours gave five college student-Sidney, Celia, Liz, Malcom, and Theo-an idea for a summer business. They would operate bicycle tours from school and family groups. They chose a route from Philadelphia, Pennsylvania, to Williams burg, Virginia, including a long stretch along the ocean beaches of New Jersey, Delaware, and Maryland. They decided to name their business Ocean and History bike Tours. While planning their bike tour, the five friends had to determine how far the touring group would be able to ride each day. To figure this out, they took test rides around their hometowns.
Problem 1.1
This experiment requires for people:
A jumper (to do jumping jacks)
A timer (to keep track o time)
A counter (to count jumping jacks)
A recorder (to write down the number of jumping jacks)
As a group decide who will do each task. Prepare a table for recording the total number of jumping jacks after every 10 seconds, up to a total time of 2 minutes (120 seconds).
Time (seconds)
0
10
20
30
40
50
60
70
80
90
100
110
120
Total number of jumping jacks
Here’s how to do the experiment. When the timer says “go,” the jumper begins doing jumping jacks. The counter jumps the jumping jacks out loud, Every 10 seconds, the timer says “time” and the recorder records the total number of jumping jacks the jumper has done so far, Repeat the experiment four times so that everyone has a turn at each of the four tasks.
1.1 Solution
Time (seconds)
0
10
20
30
40
50
60
70
80
90
100
110
120
Total number of jumping jacks
20
36
50
63
76
90
103
114
126
138
151
167
1.1 Follow Up
Use your table of jumping jack data to answer the questions:
1. How did you jumping jack rate (the number of jumping jacks per second) change as time passed? How is this shown in your table?
My rate of jumping jack dropped after 20 seconds. I seconds. I steadily dropped till 60 seconds. Since then, my jumpihng jack rate was stable on average. My table shows the rate of change and that shows the pattern. I got tired towards the end, so I gave everything I had and sped up.
2. What might this pattern suggest about how bike-riding speed would change over a day's time on the bicycle tour?
This pattern suggests that bike-riding speed changes a lot during the earlier part of the day and stabilizes during the later parts of the day. In other words, the rider tries putting different levels of effort during the earlier part of the day. When the rider finally finds the right rhythm, he sticks with it till the end. That is why he stabilizes during the later parts of the day.
CO(Chae Un Ok)
Math 7B
August 26, 2010
Big Idea:
Observation and description of changes in the world around us are the first steps in finding and learning about patterns.
INVESTIGATION 1 Essential Question: What are some of the variables around us?
Notes from the class:
- The scale of a graph should always have the same interval.
- Variables are something that can change.
New vocabulary: Variable
Questions:
1. If you have unusal condition, will it affect the distance you ride, and why or why not?
2. How is a jumper and a timer related together?
1.1 - Preparing for a Bicycle Tour
The popularity of bicycle tours gave five college student-Sidney, Celia, Liz, Malcom, and Theo-an idea for a summer business. They would operate bicycle tours from school and family groups. They chose a route from Philadelphia, Pennsylvania, to Williams burg, Virginia, including a long stretch along the ocean beaches of New Jersey, Delaware, and Maryland. They decided to name their business Ocean and History bike Tours. While planning their bike tour, the five friends had to determine how far the touring group would be able to ride each day. To figure this out, they took test rides around their hometowns.
Problem 1.1
This experiment requires for people:
As a group decide who will do each task.
Prepare a table for recording the total number of jumping jacks after every 10 seconds, up to a total time of 2 minutes (120 seconds).
Here’s how to do the experiment. When the timer says “go,” the jumper begins doing jumping jacks. The counter jumps the jumping jacks out loud, Every 10 seconds, the timer says “time” and the recorder records the total number of jumping jacks the jumper has done so far, Repeat the experiment four times so that everyone has a turn at each of the four tasks.
1.1 Solution
1.1 Follow Up
Use your table of jumping jack data to answer the questions:
1. How did you jumping jack rate (the number of jumping jacks per second) change as time passed? How is this shown in your table?
My rate of jumping jack dropped after 20 seconds. I seconds. I steadily dropped till 60 seconds. Since then, my jumpihng jack rate was stable on average. My table shows the rate of change and that shows the pattern. I got tired towards the end, so I gave everything I had and sped up.
2. What might this pattern suggest about how bike-riding speed would change over a day's time on the bicycle tour?
This pattern suggests that bike-riding speed changes a lot during the earlier part of the day and stabilizes during the later parts of the day. In other words, the rider tries putting different levels of effort during the earlier part of the day. When the rider finally finds the right rhythm, he sticks with it till the end. That is why he stabilizes during the later parts of the day.